146999397888 has 960 divisors, whose sum is σ = 532915891200. Its totient is φ = 39852933120.

The previous prime is 146999397877. The next prime is 146999397971. The reversal of 146999397888 is 888793999641.

146999397888 is a `hidden beast` number, since 1 + 4 + 69 + 99 + 397 + 8 + 88 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1860751833 + ... + 1860751911.

It is an arithmetic number, because the mean of its divisors is an integer number (555120720).

Almost surely, 2^146999397888 is an apocalyptic number.

146999397888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146999397888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266457945600).

146999397888 is an abundant number, since it is smaller than the sum of its proper divisors (385916493312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

146999397888 is an equidigital number, since it uses as much as digits as its factorization.

146999397888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 199 counting only the distinct ones).

The product of its digits is 1693052928, while the sum is 81.

The spelling of 146999397888 in words is "one hundred forty-six billion, nine hundred ninety-nine million, three hundred ninety-seven thousand, eight hundred eighty-eight".